A Simple Variance Estimator for Unequal Probability Sampling without Replacement

DOI10.1080/0266476042000184046zbMath1121.62330OpenAlexW2120746759MaRDI QIDQ3591899

Yves G. Berger

Publication date: 11 September 2007

Published in: Journal of Applied Statistics (Search for Journal in Brave)

Full work available at URL: https://eprints.soton.ac.uk/7798/1/7798-01.pdf

zbMATH Keywords

inclusion probabilitiesdesign-based inference\(\pi\)-estimatorHansen-Hurwitz variance estimatorSen-Yates-Grundy variance estimator

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items

Application of the full Bayesian significance test to model selection under informative sampling ⋮ On the correct implementation of the Hanurav-Vijayan selection procedure for unequal probability sampling without replacement ⋮ Adjusted Jackknife for Imputation under Unequal Probability Sampling Without Replacement

Uses Software

• AS 146

Cites Work

• Rate of convergence for asymptotic variance of the Horvitz-Thompson estimator
• Biometrika Centenary: Sample surveys
• Minimum Variance Stratification
• On unequal probability sampling: Sufficient conditions for the superiority of sampling without replacement
• A general purpose unequal probability sampling plan
• Algorithm AS 146: Construction of Joint Probability of Selection for Systematic P.P.S. Sampling
• Asymptotic Theory of Rejective Sampling with Varying Probabilities from a Finite Population
• Sampling with Unequal Probabilities and without Replacement
• A Generalization of Sampling Without Replacement From a Finite Universe
• On the Theory of Sampling from Finite Populations